Some results on ordered fields

Hiroshi MATSUYAMA

doi:10.2969/jmsj/03830361

Hiroshi MATSUYAMA

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JOURNAL FREE ACCESS

1986 Volume 38 Issue 3 Pages 361-380

DOI https://doi.org/10.2969/jmsj/03830361

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Published: 1986 Received: July 25, 1984 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Hirosi Nagao on his 60th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) E. Artin, Kennzeichnung des Körpers der reellen algebraischen Zahlen, Abh. Math. Sem. Univ. Hamburg, 3 (1924), 319-323.
2) E. Artin and O. Schreier, Algebraische Konstruktion reeller Körper, Sem. Univ. Hamburg, 5 (1926), 85-99.
3) E. Artin, Über die Zerlegung definiter Funktionen in Quadrate, Sem. Univ. Hamburg, 5 (1927), 100-115.
4) E. Artin and O. Schreier, Eine Kennzeichnung der reell abgeschlossenen Körper, Sem. Univ. Hamburg, 5 (1927), 225-231.
5) P. M. Cohn, Algebra, Vol. 2, John Wiley, Chichester - New York - Brisbane - Toronto, 1979.
6) P. Erdös, L. Gillman and M. Henriksen, An isomorphism theorem for real closed fields, Ann. of Math., 61 (1955), 542-554.
7) G. Fujisaki, Fields and Galois Theory III (in Japanese), Iwanami, Tokyo, 1978.
8) N. Jacobson, Lectures in Abstract Algebra III, Van Nostrand, Princeton, 1964.
9) M. Nagata, Field Theory, Dekker. New York, 1977.

Right : [1] E. Artin, Kennzeichnung des Körpers der reellen algebraischen Zahlen, Abh. Math. Sem. Univ. Hamburg, 3 (1924), 319-323.
[2] E. Artin and O. Schreier, Algebraische Konstruktion reeller Körper, Sem. Univ. Hamburg, 5 (1926), 85-99.
[3] E. Artin, Über die Zerlegung definiter Funktionen in Quadrate, Sem. Univ. Hamburg, 5 (1927), 100-115.
[4] E. Artin and O. Schreier, Eine Kennzeichnung der reell abgeschlossenen Körper, Sem. Univ. Hamburg, 5 (1927), 225-231.
[5] P. M. Cohn, Algebra, Vol. 2, John Wiley, Chichester-New York-Brisbane-Toronto, 1979.
[6] P. Erdös, L. Gillman and M. Henriksen, An isomorphism theorem for real closed fields, Ann. of Math., 61 (1955), 542-554.
[7] G. Fujisaki, Fields and Galois Theory III (in Japanese), Iwanami, Tokyo, 1978.
[8] N. Jacobson, Lectures in Abstract Algebra III, Van Nostrand, Princeton, 1964.
[9] M. Nagata, Field Theory, Dekker. New York, 1977.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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